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5727904 = 257213281
BaseRepresentation
bin10101110110011010100000
3101210000012121
4111312122200
52431243104
6322434024
766454300
oct25663240
911700177
105727904
113262506
121b02914
1312571c0
14a91600
15782254
hex5766a0

5727904 has 72 divisors (see below), whose sum is σ = 14177268. Its totient is φ = 2257920.

The previous prime is 5727889. The next prime is 5727907. The reversal of 5727904 is 4097275.

It can be written as a sum of positive squares in 2 ways, for example, as 5664400 + 63504 = 2380^2 + 252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5727904.

It is not an unprimeable number, because it can be changed into a prime (5727907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20244 + ... + 20524.

Almost surely, 25727904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088634).

5727904 is an abundant number, since it is smaller than the sum of its proper divisors (8449364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5727904 is a wasteful number, since it uses less digits than its factorization.

5727904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 5727904 is about 2393.3039923921. The cubic root of 5727904 is about 178.9226177387.

The spelling of 5727904 in words is "five million, seven hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 281 364 392 416 562 637 728 784 1124 1274 1456 1568 1967 2248 2548 2912 3653 3934 4496 5096 7306 7868 8992 10192 13769 14612 15736 20384 25571 27538 29224 31472 51142 55076 58448 62944 102284 110152 116896 178997 204568 220304 357994 409136 440608 715988 818272 1431976 2863952 5727904